Answer:
The flux is 682.6 Wb.
Explanation:
Given that,
Vector field [tex]F=-6i+5x^2j-5k[/tex]
We need to calculate the flux
Using formula of flux
[tex]\phi=\int_{-4}^{4}\int_{-4}^{4}(F\cdot j\ dxdz)[/tex]
Put the value into the formula
[tex]\phi=\int_{-4}^{4}\int_{-4}^{4}(-6i+5x^2j-5k)1\ dxdz[/tex]
[tex]\phi=\int_{-4}^{4}\int_{-4}^{4}(5x^2)dxdz[/tex]
[tex]\phi=2(\dfrac{x^3}{3})_{-4}^{4}\times(z)_{-4}^{4}[/tex]
[tex]\phi=682.6\ Wb[/tex]
Hence, The flux is 682.6 Wb.
